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57304467680 = 2551733163649
BaseRepresentation
bin110101010111100111…
…001100100011100000
312110220122110120112212
4311113213030203200
51414324420431210
642154133341252
74066025636615
oct652747144340
9173818416485
1057304467680
11223369727a9
12b133197828
135533179155
142ab88a450c
151755ca1805
hexd579cc8e0

57304467680 has 96 divisors (see below), whose sum is σ = 143780767200. Its totient is φ = 21507932160.

The previous prime is 57304467643. The next prime is 57304467719. The reversal of 57304467680 is 8676440375.

57304467680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868496 + ... + 932144.

It is an arithmetic number, because the mean of its divisors is an integer number (1497716325).

Almost surely, 257304467680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57304467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71890383600).

57304467680 is an abundant number, since it is smaller than the sum of its proper divisors (86476299520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57304467680 is a wasteful number, since it uses less digits than its factorization.

57304467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64012 (or 64004 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 57304467680 in words is "fifty-seven billion, three hundred four million, four hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 331 340 544 662 680 1324 1360 1655 2648 2720 3310 5296 5627 6620 10592 11254 13240 22508 26480 28135 45016 52960 56270 63649 90032 112540 127298 180064 225080 254596 318245 450160 509192 636490 900320 1018384 1082033 1272980 2036768 2164066 2545960 4328132 5091920 5410165 8656264 10183840 10820330 17312528 21067819 21640660 34625056 42135638 43281320 84271276 86562640 105339095 168542552 173125280 210678190 337085104 358152923 421356380 674170208 716305846 842712760 1432611692 1685425520 1790764615 2865223384 3370851040 3581529230 5730446768 7163058460 11460893536 14326116920 28652233840 57304467680